[Bug] JsonLoggingEventHandler writers may leading to memory leaks

### Code of Conduct

- [X] I agree to follow this project's [Code of Conduct](https://www.apache.org/foundation/policies/conduct)

### Search before asking

- [X] I have searched in the [issues](https://github.com/apache/kyuubi/issues?q=is%3Aissue) and found no similar issues.

### Describe the bug

In org.apache.kyuubi.events.handler.JsonLoggingEventHandler. When there are too many partitions, a large number of unclosed writers will be created, leading to memory leaks.


### Affects Version(s)

master

### Kyuubi Server Log Output

_No response_

### Kyuubi Engine Log Output

_No response_

### Kyuubi Server Configurations

_No response_

### Kyuubi Engine Configurations

_No response_

### Additional context

_No response_

### Are you willing to submit PR?

- [X] Yes. I would be willing to submit a PR with guidance from the Kyuubi community to fix.
- [ ] No. I cannot submit a PR at this time.

Start by reading org.apache.kyuubi.events.handler.JsonLoggingEventHandler and trace how writers are created when handling many partitions. Confirm the writer lifecycle and ensure the handling completes without leaving a large number of writers unclosed, then verify that the reported memory leak no longer occurs.

Written by the indexing model from the issue text.